Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224s |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
1992858085198135296 = 228 · 39 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86083944,-307390754448] |
[a1,a2,a3,a4,a6] |
j |
17223850138378767661426537/486537618456576 |
j-invariant |
L |
2.478215222153 |
L(r)(E,1)/r! |
Ω |
0.049564304443049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278j1 102672bz1 |
Quadratic twists by: -4 -3 |